I've just tracked mine down. Mine is a "perfume bottle", (it's really rather too big to be a true perfume. I think this is just a name commonly used for contemporary decorative bottles, nowadays) and the inside of the neck is ground to fit the stopper.
It is teal rather than cobalt; the stopper has a teal internal part with silver chloride-ed yellow streaks, cased in clear.
If the inside of the neck of yours is ground, then it is missing a stopper, if it isn't, it's not.

Yours looks more like a posy vase shape than my "perfume" bottle, mine has vertical sides, while yours flare out at the top.